Highest Common Factor of 483, 610, 524 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 483, 610, 524 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 483, 610, 524 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 483, 610, 524 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 483, 610, 524 is 1.

HCF(483, 610, 524) = 1

HCF of 483, 610, 524 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 483, 610, 524 is 1.

Highest Common Factor of 483,610,524 using Euclid's algorithm

Highest Common Factor of 483,610,524 is 1

Step 1: Since 610 > 483, we apply the division lemma to 610 and 483, to get

610 = 483 x 1 + 127

Step 2: Since the reminder 483 ≠ 0, we apply division lemma to 127 and 483, to get

483 = 127 x 3 + 102

Step 3: We consider the new divisor 127 and the new remainder 102, and apply the division lemma to get

127 = 102 x 1 + 25

We consider the new divisor 102 and the new remainder 25,and apply the division lemma to get

102 = 25 x 4 + 2

We consider the new divisor 25 and the new remainder 2,and apply the division lemma to get

25 = 2 x 12 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 483 and 610 is 1

Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(102,25) = HCF(127,102) = HCF(483,127) = HCF(610,483) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 524 > 1, we apply the division lemma to 524 and 1, to get

524 = 1 x 524 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 524 is 1

Notice that 1 = HCF(524,1) .

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Frequently Asked Questions on HCF of 483, 610, 524 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 483, 610, 524?

Answer: HCF of 483, 610, 524 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 483, 610, 524 using Euclid's Algorithm?

Answer: For arbitrary numbers 483, 610, 524 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.